doi:10.1016/j.cma.2023.116038engSolán-Fustero, P.Gracia, J.L.Navas-Montilla, A.García-Navarro, P.Development of POD-based Reduced Order Models applied to shallow water equations using augmented Riemann solversART-2023-133850Reduced-order models (ROMs) based on the proper orthogonal decomposition have been proposed to reduce the computational resources required by the full-order models (FOMs) to approximate partial differential equations. In this paper a Roe-based ROM is developed to solve the shallow water equations in presence of source terms more efficiently than the Roe-based FOM. The well-balanced property and other numerical corrections such as the entropy fix and the wet–dry treatment are taken into account using augmented Riemann solvers to build the Roe-based FOM. In addition to this, a time averaging approach is necessary to develop the Roe-based ROM. This approach is validated by solving some cases and the computed solutions are compared with those ones of Lax–Friedrichs-based ROMs. It is also studied whether the ROM preserves or not the well-balancing, the entropy fix and the wet–dry treatment.2023http://zaguan.unizar.es/record/12647110.1016/j.cma.2023.116038http://zaguan.unizar.es/record/126471oai:zaguan.unizar.es:126471info:eu-repo/grantAgreement/ES/DGA-FEDER/E24-17Rinfo:eu-repo/grantAgreement/ES/DGA-FEDER/T32-20Rinfo:eu-repo/grantAgreement/ES/MICINN-FEDER/PGC2018-094341-B-I00Computer Methods in Applied Mechanics and Engineering 410 (2023), 116038 [27 pp.]by-nc-ndhttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.esinfo:eu-repo/semantics/openAccess